Answer:Probability = 1/8.
Step-by-step explanation:
A number cube has six sides. Each side has a number from 1 to 6. This means that there are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore:
P(number cube lands on an even number after roll) = Number of even numbers/Number of total numbers. = 3/6 = 1/2.
Since the cube has to be rolled three times, the probability will be multiplied 3 times (assuming that each roll in independent of each other). Therefore:
P(number cube lands on an even number 3 times after roll) = 1/2 * 1/2 * 1/2 = 1/8.
Therefore, the answer is 1/8!!!
Answer:
y = -7x+34
Step-by-step explanation:
We have 2 points, so we can find the slope
m = (y2-y1)/(x2-x1)
= (6--1)/(4-5)
= (6+1)/(4-5)
= 7/-1
= -7
We can use point slope form to make an equation
y-y1 = m(x-x1)
y--1 = -7(x-5)
y+1 = -7(x-5)
Distribute
y+1 = -7x+35
Subtract 1 from each side
y+1-1 = -7x+35-1
y = -7x+34
Answer:
C) 7=y=5x+11
B) m=-4/5, b=13/5
Step-by-step explanation:
<u>Problem 1:</u>
A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.
<u>Problem 2:</u>
Convert to slope-intercept form (y=mx+b):
4x+5y=13
5y=13-4x
y=13/5-4/5x
y=-4/5x+13/5
Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.
Answer:
The factors of 41 are 1 and 41. It is a prime number because the only factors are one and itself
The value of x when f(x) = -4 is 3
<h3>How to solve the function?</h3>
The function is given as:
f(x) = -3x + 5
When f(x) = -4, we have:
-4 = -3x + 5
Subtract 5 from both sides
-3x = -9
Divide both sides by -3
x = 3
Hence, the value of x when f(x) = -4 is 3
Read more about functions at:
brainly.com/question/4025726
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